Slope
What is the slope of the line: 3y=7x+10?
Answer: 2 1/3x
Explanation: To get the slope, divide 3y by 7 and 10.
What is the formula for standard form?
Ax+By=C
What is the formula for slope-intercept form?
What is the objective when solving an equation?
The objective is to isolate "x"
What is the formula for point-slope?
y-y1=m(x-x1)
What is the slope of y=2x+9?
Answer: 2x
Explanation: In y=mx+b, the "M" represents the slope, therefore 2x is the slope of the equation
What is step 1 when converting this equation to slope-intercept form?
Equation: -3x+5y=20
Answer:5y=3x+20
Explanation: We need to isolate the "y-value", therefore, we need to move "x" to the other side
Convert 3x=y+2 to slope-intercept form.
Answer: y=-3x+2
Explanation: Move x to the right, and y to the left
When do you need to flip the sign when solving an inequality?
You need to flip the sign if you divide by a negative number
Use m=3 and (2,5) to make an equation in point-slope form.
y-5=3(x-2)
What is the slope of the 2 points: (4,5), (6,2)
Answer: -1.5x
Explanation: You can put the point in the calculator, with the following steps: STAT, EDIT, CALC,4, to get the slope of -1.5.
What do you do if y is negative?
Answer: Multiply the whole equation by -1
Explanation: The y-value cannot be negative, so we must multiply the whole equation by -1 to make the "y value" positive.
Convert 4y=2x+3 to slope-intercept form
Answer: y=2/4x+3/4
Explanation: We need to isolate y, so we need to divide the entire equation by 4.
Solve for X: 3x+5=20
Answer: x=5
Explanation:
1. We need to subtract 5 from each side, making the equation: 3x=15
2. To isolate "x," we need to divide 3 from each side, making x=5
Use the following to make an equation in point-slope form. m=-2 and(-2,-3)
y+3=-2(x+2)
Explanation: The -2 and -3 from the coordinates become positive because 2 negatives make a positive
What is the slope of y=3x+4?
Answer: 3x
Explanation: 3x is the "m" in y=mx+b
Make 2x-y=6 into slope-intercept
Answer: y=2x-6
Explanation: *You need to scroll down*
1. We want to isolate "y" so we need to subtract 2x from each side, making this: -y=-2x+6
2. "y" by itself can never be negative, so we need to multiply the whole equation by -1, making: y=2x-6
Find the equation in slope-intercept form from these 2 points: (5,2) and (6,3)
Answer: y=1x-3
Explanation: You can put these coordinates in the calculator using STAT, EDIT, CALC,4.
Solve for x: 5-3x≥-4
x ≤ 3
Use the following coordinates to write an equation in point-slope form. (3,4) (4,7)
Answer: y-7=3(x-4)
Explanation: You can get the slope through
y2-y1 over x2-x1, and then plug the coordinates and slope into the formula.